Tutte polynomial of a non-matroid

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fy2721
Posts: 1
Joined: 24 Oct 2021, 19:35

Tutte polynomial of a non-matroid

Postby fy2721 » 24 Oct 2021, 20:28

Polymake allowed me to create a "matroid" using {{0,1}, {1,3}, {2,3}} as my set of bases on [4], which is not surprising since I know that polymake does not automatically check if the sets given actually form the bases of a matroid.

However, it also tells me that this "matroid" has Tutte polynomial x^2+xy^2+xy. What exactly is it computing?

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